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Mathematics, Algebraic Geometry, Mathematical Physics, Number Theory, Representation Theory
Abstract:
We consider the $*$-Markov equation for the symmetric Laurent polynomials in
three variables with integer coefficients, which is an equivariant analog of
the classical Markov equation for integers. We study how the properties of the
Markov equation and its solutions are reflected in the properties of the
$*$-Markov equation and its solutions.